Library / /316 of 413

, 1998

Algebra Difficulty 2.0 Junior Find the answer Canada

Michael picks three different digits from the set $\{1,2,3,4,5\}$ and forms a mixed number by placing the digits in the spaces of $\Box\frac{\Box}{\Box}$ . The fractional part of the mixed number must be less than $1$ . (For example, $4\frac{2}{3}$ ). What is the difference between the largest and smallest possible mixed number that can be formed?

(A) $4\frac{3}{5}$ (B) $4\frac{9}{20}$ (C) $4\frac{3}{10}$ (D) $4\frac{4}{15}$ (E) $4\frac{7}{20}$

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.